The Celtic skipper believes the 6-0 thrashing of St Johnstone on Sunday will mark a turning point in the Hoops’ season.
With inconsistent results at home and abroad allied to the manager’s unhappiness with Celtic’s transfer activity, it has been a troublesome first few months of the season.
Rodgers has also admitted he was offered a chance to leave the Hoops and head for China, while his name was placed high on the shortlist for the vacant Aston Villa job.
BBC pundit and Kilmarnock striker Kris Boyd is adamant the Celtic camp is split on a number of issues, but Brown has scoffed at that claim and believes the Bhoys are ready to click into a different gear.
He said: “There have been a lot of people trying to put us down, but we have a great dressing room and a great manager and board, and we’re all together no matter what happens.
“The results aren’t always going to go your own way. We’ve had two great seasons and sometimes you will have ups and downs.
“We’ll be flying out the blocks again and I think the last performance shows how committed we all are.
“There are a load of pundits who just want to say something, but that’s just people keeping themselves in a job. We stick together and we have a great bunch of lads. We do our talking on the field.
“People can say what they want but they don’t know what happens daily in the dressing room.
“Brendan is a top-class manager. He has shown his love for the club over the last two-and-a-half years.
“What he has done for Scottish football has been exceptional. It has been good
for us to work with a top-quality manager and long may it continue.”
Brown, meanwhile, is confident he will prove his fitness to Rodgers to face Hibs a week on Saturday.
The veteran sat out the defeat to Red Bull Salzburg and the demolition of St Johnstone with a hamstring issue. But he added: “I’ll be back ready. I’ll get the weekend off and then I’ll be fine.
“It was just a wee niggle and one of those which I’ve done before and ended up rupturing my hamstring.
“It was more precautionary than anything else. The performance at Perth was outstanding. What we have been working on is coming together.”